# hygestat

Hypergeometric mean and variance

## Syntax

```[MN,V] = hygestat(M,K,N) ```

## Description

`[MN,V] = hygestat(M,K,N)` returns the mean of and variance for the hypergeometric distribution with corresponding size of the population, `M`, number of items with the desired characteristic in the population, `K`, and number of samples drawn, `N`. Vector or matrix inputs for `M`, `K`, and `N` must have the same size, which is also the size of `MN` and `V`. A scalar input for `M`, `K`, or `N` is expanded to a constant matrix with the same dimensions as the other inputs.

The mean of the hypergeometric distribution with parameters `M`, `K`, and `N` is `NK/M`, and the variance is `NK(M-K)(M-N)/[M^2(M-1)]`.

## Examples

The hypergeometric distribution approaches the binomial distribution, where `p = K/M`, as `M` goes to infinity.

```[m,v] = hygestat(10.^(1:4),10.^(0:3),9) m = 0.9000 0.9000 0.9000 0.9000 v = 0.0900 0.7445 0.8035 0.8094 [m,v] = binostat(9,0.1) m = 0.9000 v = 0.8100```